Pith Number

pith:MKEC3XNG

pith:2004:MKEC3XNG5FBEPDV37IG7ATZWIN

not attested not anchored not stored refs pending

Entanglement under restricted operations: Analogy to mixed-state entanglement

Andrew C. Doherty, H. M. Wiseman, Robert W. Spekkens, Stephen D. Bartlett

arxiv:quant-ph/0412158 v3 · 2004-12-20 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKEC3XNG5FBEPDV37IG7ATZWIN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T14:50:17.928896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62882ddda6e942478ebbfa0df04f364357da0544e39a9b13808c1ecf6760281a

Aliases

arxiv: quant-ph/0412158 · arxiv_version: quant-ph/0412158v3 · doi: 10.48550/arxiv.quant-ph/0412158 · pith_short_12: MKEC3XNG5FBE · pith_short_16: MKEC3XNG5FBEPDV3 · pith_short_8: MKEC3XNG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MKEC3XNG5FBEPDV37IG7ATZWIN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 62882ddda6e942478ebbfa0df04f364357da0544e39a9b13808c1ecf6760281a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f54ba5f0bf50fe0f118204174f7a7b8fddd175dee82b062a1d56fed6c34991e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-12-20T21:06:40Z",
    "title_canon_sha256": "85987f314c023000ffb35a57c21f57c9a46a6a1cdfc6b16578fb730a99534f59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0412158",
    "kind": "arxiv",
    "version": 3
  }
}